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https://github.com/Brandon-Rozek/matmod.git
synced 2024-11-08 21:20:33 -05:00
Remove conjunction and disjunction when not well-defined
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parent
df5b0f5161
commit
667eea0c70
1 changed files with 63 additions and 31 deletions
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@ -49,28 +49,39 @@ def parse_matrices(infile: TextIO) -> List[Tuple[Model, Dict]]:
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for mimplication in results:
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for mimplication in results:
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logical_operations = {
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logical_operations = {
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mnegation, mconjunction, mdisjunction,
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mnegation, mimplication
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mimplication
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}
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}
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model = Model(carrier_set, logical_operations, designated_values)
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model = Model(carrier_set, logical_operations, designated_values, name=str(len(solutions)))
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interpretation = {
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interpretation = {
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Negation: mnegation,
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Negation: mnegation,
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Conjunction: mconjunction,
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Disjunction: mdisjunction,
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Implication: mimplication
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Implication: mimplication
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}
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}
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if mconjunction is not None:
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logical_operations.add(mconjunction)
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interpretation[Conjunction] = mconjunction
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if mdisjunction is not None:
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logical_operations.add(mdisjunction)
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interpretation[Disjunction] = mdisjunction
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solutions.append((model, interpretation))
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solutions.append((model, interpretation))
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print(f"Parsed Matrix {len(solutions)}")
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print(f"Parsed Matrix {model.name}")
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return solutions
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return solutions
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def carrier_set_from_size(size: int):
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def carrier_set_from_size(size: int):
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"""
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Construct a carrier set of model values
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based on the desired size.
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"""
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return {
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return {
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mvalue_from_index(i) for i in range(size + 1)
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mvalue_from_index(i) for i in range(size + 1)
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}
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}
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def parse_size(infile: TextIO) -> Optional[int]:
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def parse_size(infile: TextIO) -> Optional[int]:
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# Elements are represented in hexidecimal
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"""
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Parse the line representing the matrix size.
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NOTE: Elements are represented in hexidecimal.
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"""
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size = int(next(infile), 16)
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size = int(next(infile), 16)
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if size == -1:
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if size == -1:
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return None
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return None
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@ -78,6 +89,9 @@ def parse_size(infile: TextIO) -> Optional[int]:
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return size
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return size
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def parse_negation(infile: TextIO, size: int) -> Optional[ModelFunction]:
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def parse_negation(infile: TextIO, size: int) -> Optional[ModelFunction]:
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"""
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Parse the line representing the negation table.
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"""
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line = next(infile).strip()
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line = next(infile).strip()
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if line == '-1':
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if line == '-1':
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return None
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return None
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@ -91,16 +105,26 @@ def parse_negation(infile: TextIO, size: int) -> Optional[ModelFunction]:
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y = parse_mvalue(j)
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y = parse_mvalue(j)
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mapping[(x, )] = y
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mapping[(x, )] = y
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return ModelFunction(1, mapping, "Negation")
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return ModelFunction(1, mapping, "¬")
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def mvalue_from_index(i: int):
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def mvalue_from_index(i: int):
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"""
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Given an index, return the hexidecimal
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representation of the model value.
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"""
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return ModelValue(f"a{hex(i)[-1]}")
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return ModelValue(f"a{hex(i)[-1]}")
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def parse_mvalue(x: str) -> ModelValue:
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def parse_mvalue(x: str) -> ModelValue:
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"""
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Parse an element and return the model value.
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"""
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return mvalue_from_index(int(x, 16))
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return mvalue_from_index(int(x, 16))
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def determine_cresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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def determine_cresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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"""
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Determine what a ∧ b should be given the ordering table.
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"""
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for i in range(size + 1):
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for i in range(size + 1):
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c = mvalue_from_index(i)
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c = mvalue_from_index(i)
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@ -121,9 +145,10 @@ def determine_cresult(size: int, ordering: Dict[ModelValue, ModelValue], a: Mode
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if not invalid:
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if not invalid:
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return c
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return c
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print(a, "&", b, "is not defined")
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def determine_dresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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def determine_dresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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"""
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Determine what a ∨ b should be given the ordering table.
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"""
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for i in range(size + 1):
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for i in range(size + 1):
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c = mvalue_from_index(i)
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c = mvalue_from_index(i)
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if not ordering[(a, c)]:
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if not ordering[(a, c)]:
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@ -143,9 +168,11 @@ def determine_dresult(size: int, ordering: Dict[ModelValue, ModelValue], a: Mode
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if not invalid:
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if not invalid:
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return c
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return c
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print(a, "|", b, "is not defined")
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def parse_order(infile: TextIO, size: int) -> Optional[Tuple[ModelFunction, ModelFunction]]:
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def parse_order(infile: TextIO, size: int) -> Optional[Tuple[ModelFunction, ModelFunction]]:
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"""
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Parse the line representing the ordering table
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"""
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line = next(infile).strip()
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line = next(infile).strip()
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if line == '-1':
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if line == '-1':
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return None
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return None
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@ -164,11 +191,6 @@ def parse_order(infile: TextIO, size: int) -> Optional[Tuple[ModelFunction, Mode
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omapping[(x, y)] = table[table_i] == '1'
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omapping[(x, y)] = table[table_i] == '1'
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table_i += 1
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table_i += 1
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# NOTE: Print omapping for debugging
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for (x, y) in omapping.keys():
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print(x, y, "maps to", omapping[(x, y)])
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cmapping = {}
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cmapping = {}
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dmapping = {}
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dmapping = {}
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@ -178,16 +200,30 @@ def parse_order(infile: TextIO, size: int) -> Optional[Tuple[ModelFunction, Mode
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for j in range(size + 1):
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for j in range(size + 1):
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y = mvalue_from_index(j)
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y = mvalue_from_index(j)
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cmapping[(x, y)] = determine_cresult(size, omapping, x, y)
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cresult = determine_cresult(size, omapping, x, y)
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dmapping[(x, y)] = determine_dresult(size, omapping, x, y)
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if cresult is None:
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print("[Warning] Conjunction and Disjunction are not well-defined")
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print(f"{x} ∧ {y} = ??")
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return None, None
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cmapping[(x, y)] = cresult
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dresult = determine_dresult(size, omapping, x, y)
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if dresult is None:
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print("[Warning] Conjunction and Disjunction are not well-defined")
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print(f"{x} ∨ {y} = ??")
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return None, None
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dmapping[(x, y)] = dresult
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mconjunction = ModelFunction(2, cmapping, "Conjunction")
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mconjunction = ModelFunction(2, cmapping, "∧")
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mdisjunction = ModelFunction(2, dmapping, "Disjunction")
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mdisjunction = ModelFunction(2, dmapping, "∨")
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return mconjunction, mdisjunction
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return mconjunction, mdisjunction
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def parse_designated(infile: TextIO, size: int) -> Optional[Set[ModelValue]]:
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def parse_designated(infile: TextIO, size: int) -> Optional[Set[ModelValue]]:
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"""
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Parse the line representing which model values are designated.
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"""
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line = next(infile).strip()
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line = next(infile).strip()
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if line == '-1':
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if line == '-1':
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return None
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return None
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@ -206,6 +242,10 @@ def parse_designated(infile: TextIO, size: int) -> Optional[Set[ModelValue]]:
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def parse_implication(infile: TextIO, size: int) -> Optional[List[ModelFunction]]:
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def parse_implication(infile: TextIO, size: int) -> Optional[List[ModelFunction]]:
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"""
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Parse the line representing the list of implication
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tables.
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"""
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line = next(infile).strip()
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line = next(infile).strip()
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if line == '-1':
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if line == '-1':
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return None
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return None
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@ -231,7 +271,7 @@ def parse_implication(infile: TextIO, size: int) -> Optional[List[ModelFunction]
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mapping[(x, y)] = r
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mapping[(x, y)] = r
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mimplication = ModelFunction(2, mapping, "Implication")
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mimplication = ModelFunction(2, mapping, "→")
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mimplications.append(mimplication)
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mimplications.append(mimplication)
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return mimplications
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return mimplications
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@ -241,13 +281,5 @@ if __name__ == "__main__":
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solutions: List[Model] = parse_matrices(sys.stdin)
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solutions: List[Model] = parse_matrices(sys.stdin)
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print(f"Parsed {len(solutions)} matrices")
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print(f"Parsed {len(solutions)} matrices")
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for i, (model, interpretation) in enumerate(solutions):
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for i, (model, interpretation) in enumerate(solutions):
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# TODO: Check if conjunction and disjunction are well defined while parsing
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print(model)
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model.logical_operations -= {interpretation[Conjunction], interpretation[Disjunction]}
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print(has_vsp(model, interpretation))
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del interpretation[Conjunction]
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del interpretation[Disjunction]
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# print(model)
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if has_vsp(model, interpretation):
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print(model)
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print("Has VSP")
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else:
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print("Model", i, "does not have VSP")
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