Process nullary connectives

This commit is contained in:
Brandon Rozek 2024-11-05 12:45:47 -05:00
parent 9744f976dd
commit 76eeee701e

View file

@ -14,7 +14,8 @@ from logic import (
Conjunction, Conjunction,
Negation, Negation,
Necessitation, Necessitation,
Disjunction Disjunction,
Operation
) )
from vsp import has_vsp from vsp import has_vsp
@ -25,6 +26,11 @@ class SourceFile:
self.reststr = "" self.reststr = ""
def next_line(self): def next_line(self):
"""
Grabs the next line.
If reststr is populated return that, otherwise
consume generator
"""
if self.reststr != "": if self.reststr != "":
reststr = self.reststr reststr = self.reststr
self.reststr = "" self.reststr = ""
@ -48,14 +54,13 @@ class SourceFile:
return next_token return next_token
def set_reststr(self, reststr: str):
self.reststr = reststr
class UglyHeader: class UglyHeader:
def __init__(self, negation: bool, necessitation: bool, custom_model_functions: List[Tuple[int, str]]): def __init__(self, negation: bool, necessitation: bool, custom_model_functions: List[Tuple[int, str]]):
# Booleans describing the logical fragment
self.negation = negation self.negation = negation
self.necessitation = necessitation self.necessitation = necessitation
# List of custom model functions described as
# a sequence of (adicity, symbol) pairs
self.custom_model_functions = custom_model_functions self.custom_model_functions = custom_model_functions
class ModelBuilder: class ModelBuilder:
@ -68,6 +73,7 @@ class ModelBuilder:
self.designated_values: Set[ModelValue] = set() self.designated_values: Set[ModelValue] = set()
self.mimplication: Optional[ModelFunction] = None self.mimplication: Optional[ModelFunction] = None
self.mnecessitation: Optional[ModelFunction] = None self.mnecessitation: Optional[ModelFunction] = None
# Map symbol to model function
self.custom_model_functions: Dict[str, ModelFunction] = {} self.custom_model_functions: Dict[str, ModelFunction] = {}
class Stage: class Stage:
@ -75,6 +81,7 @@ class Stage:
self.name = name self.name = name
self.next: Optional['Stage'] = None self.next: Optional['Stage'] = None
self.previous: Optional['Stage'] = None self.previous: Optional['Stage'] = None
# This corresponds to a portion of the model name in MaGIC
self.num = 0 self.num = 0
def increment(self): def increment(self):
@ -88,44 +95,39 @@ class Stage:
class Stages: class Stages:
def __init__(self): def __init__(self):
self.stages: Dict[str, Stage] = {} end_stage = Stage("end")
self.last_added_stage: Optional[Stage] = None self.stages: Dict[str, Stage] = {"end": end_stage}
self.last_added_stage: Stage = end_stage
self.first_stage: Optional[Stage] = None self.first_stage: Optional[Stage] = None
def add(self, name: str): def add(self, name: str):
stage = Stage(name) stage = Stage(name)
stage.next = stage stage.next = stage
if self.last_added_stage is not None: stage.previous = self.last_added_stage
stage.previous = self.last_added_stage
# End stage is a sink so don't
# mark any stages as next
if self.last_added_stage.name != "end":
self.last_added_stage.next = stage self.last_added_stage.next = stage
else: else:
# The previous of the first stage # If this is triggered, than this is the first
# is the end # stage added
self.first_stage = stage self.first_stage = stage
stage.previous = Stage("end")
self.stages[name] = stage self.stages[name] = stage
self.last_added_stage = stage self.last_added_stage = stage
def next_stage(self, name):
return self.stages[name].next
def previous_stage(self, name):
return self.stages[name].previous
def reset_after(self, name): def reset_after(self, name):
"""
Resets the stage counters after a given stage.
This is to accurately reflect the name of the
model within MaGIC.
"""
stage = self.stages[name] stage = self.stages[name]
stage.reset() while stage.name != "process_model":
if stage.next.name == "process_model": stage.reset()
return stage = stage.next
next_stage = stage.next
while next_stage is not None:
next_stage.reset()
if next_stage.next.name == "process_model":
next_stage = None
else:
next_stage = next_stage.next
def get(self, name): def get(self, name):
return self.stages[name] return self.stages[name]
@ -171,12 +173,12 @@ def derive_stages(header: UglyHeader) -> Stages:
return stages return stages
def parse_matrices(infile: SourceFile) -> List[Tuple[Model, Dict]]: def parse_matrices(infile: SourceFile) -> List[Tuple[Model, Dict]]:
solutions = [] # Reset solutions = []
header = parse_header(infile) header = parse_header(infile)
stages = derive_stages(header) stages = derive_stages(header)
first_run = True first_run = True
current_model_parts = ModelBuilder() current_model_parts = ModelBuilder()
stage = stages.get("size") stage = stages.first_stage
while True: while True:
match stage.name: match stage.name:
case "end": case "end":
@ -239,16 +241,7 @@ def parse_matrices(infile: SourceFile) -> List[Tuple[Model, Dict]]:
raise NotImplementedError(f"Unrecognized Stage: {stage.name}") raise NotImplementedError(f"Unrecognized Stage: {stage.name}")
adicity, symbol = custom_stage.groups() adicity, symbol = custom_stage.groups()
adicity = int(adicity) adicity = int(adicity)
processed = True processed = process_custom_connective(infile, symbol, adicity, current_model_parts)
if adicity == 0:
# We don't need to do anything here
stage = stage.next
elif adicity == 1:
processed = process_custom_monadic_connective(infile, symbol, current_model_parts)
elif adicity == 2:
processed = process_custom_dyadic_connective(infile, symbol, current_model_parts)
else:
raise NotImplementedError("Unable to process connectives of adicity greater than c2")
if processed: if processed:
stage.increment() stage.increment()
@ -257,7 +250,6 @@ def parse_matrices(infile: SourceFile) -> List[Tuple[Model, Dict]]:
stages.reset_after(stage.name) stages.reset_after(stage.name)
stage = stage.previous stage = stage.previous
return solutions return solutions
def process_sizes(infile: SourceFile, current_model_parts: ModelBuilder, first_run: bool) -> bool: def process_sizes(infile: SourceFile, current_model_parts: ModelBuilder, first_run: bool) -> bool:
@ -276,7 +268,7 @@ def process_sizes(infile: SourceFile, current_model_parts: ModelBuilder, first_r
def process_negations(infile: SourceFile, current_model_parts: ModelBuilder) -> bool: def process_negations(infile: SourceFile, current_model_parts: ModelBuilder) -> bool:
"""Stage 2 (Optional)""" """Stage 2 (Optional)"""
mnegation = parse_single_negation(infile, current_model_parts.size) mnegation = parse_single_monadic_connective(infile, "¬", current_model_parts.size)
if mnegation is None: if mnegation is None:
return False return False
@ -306,7 +298,7 @@ def process_designateds(infile: SourceFile, current_model_parts: ModelBuilder) -
def process_implications(infile: SourceFile, current_model_parts: ModelBuilder) -> bool: def process_implications(infile: SourceFile, current_model_parts: ModelBuilder) -> bool:
"""Stage 5""" """Stage 5"""
mimplication = parse_single_implication(infile, current_model_parts.size) mimplication = parse_single_dyadic_connective(infile, "", current_model_parts.size)
if mimplication is None: if mimplication is None:
return False return False
@ -314,23 +306,23 @@ def process_implications(infile: SourceFile, current_model_parts: ModelBuilder)
return True return True
def process_necessitations(infile: SourceFile, current_model_parts: ModelBuilder) -> bool: def process_necessitations(infile: SourceFile, current_model_parts: ModelBuilder) -> bool:
mnecessitation = parse_single_necessitation(infile, current_model_parts.size) mnecessitation = parse_single_monadic_connective(infile, "!", current_model_parts.size)
if mnecessitation is None: if mnecessitation is None:
return False return False
current_model_parts.mnecessitation = mnecessitation current_model_parts.mnecessitation = mnecessitation
return True return True
def process_custom_monadic_connective(infile: SourceFile, symbol: str, current_model_parts: ModelBuilder) -> bool: def process_custom_connective(infile: SourceFile, symbol: str, adicity: int, current_model_parts: ModelBuilder) -> bool:
mfunction = parse_single_monadic_connective(infile, symbol, current_model_parts.size) if adicity == 0:
if mfunction is None: mfunction = parse_single_nullary_connective(infile, symbol)
return False elif adicity == 1:
mfunction = parse_single_monadic_connective(infile, symbol, current_model_parts.size)
elif adicity == 2:
mfunction = parse_single_dyadic_connective(infile, symbol, current_model_parts.size)
else:
raise NotImplementedError("Unable to process connectives of adicity greater than 2")
current_model_parts.custom_model_functions[symbol] = mfunction
return True
def process_custom_dyadic_connective(infile: SourceFile, symbol: str, current_model_parts: ModelBuilder) -> bool:
mfunction = parse_single_dyadic_connective(infile, symbol, current_model_parts.size)
if mfunction is None: if mfunction is None:
return False return False
@ -339,8 +331,10 @@ def process_custom_dyadic_connective(infile: SourceFile, symbol: str, current_mo
def process_model(model_name: str, mp: ModelBuilder, solutions: List[Tuple[Model, Dict]]): def process_model(model_name: str, mp: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
"""Create Model""" """Create Model"""
assert mp.mimplication is not None assert mp.size > 0
assert mp.size + 1 == len(mp.carrier_set) assert mp.size + 1 == len(mp.carrier_set)
assert len(mp.designated_values) <= len(mp.carrier_set)
assert mp.mimplication is not None
logical_operations = { mp.mimplication } logical_operations = { mp.mimplication }
model = Model(mp.carrier_set, logical_operations, mp.designated_values, name=model_name) model = Model(mp.carrier_set, logical_operations, mp.designated_values, name=model_name)
@ -363,11 +357,10 @@ def process_model(model_name: str, mp: ModelBuilder, solutions: List[Tuple[Mode
for custom_mf in mp.custom_model_functions.values(): for custom_mf in mp.custom_model_functions.values():
if custom_mf is not None: if custom_mf is not None:
logical_operations.add(custom_mf) logical_operations.add(custom_mf)
# NOTE: No need to assign interpretation op = Operation(custom_mf.operation_name, custom_mf.arity)
# for VSP check interpretation[op] = custom_mf
solutions.append((model, interpretation)) solutions.append((model, interpretation))
print(f"Parsed Matrix {model.name}")
def parse_header(infile: SourceFile) -> UglyHeader: def parse_header(infile: SourceFile) -> UglyHeader:
""" """
@ -403,6 +396,7 @@ def parse_size(infile: SourceFile, first_run: bool) -> Optional[int]:
""" """
size = int(infile.next_line()) size = int(infile.next_line())
# HACK: When necessitation and custom connectives are enabled # HACK: When necessitation and custom connectives are enabled
# MaGIC may produce -1s at the beginning of the file # MaGIC may produce -1s at the beginning of the file
if first_run: if first_run:
@ -414,12 +408,6 @@ def parse_size(infile: SourceFile, first_run: bool) -> Optional[int]:
assert size > 0, f"Unexpected size at line {infile.current_line}" assert size > 0, f"Unexpected size at line {infile.current_line}"
return size return size
def parse_single_negation(infile: SourceFile, size: int) -> Optional[ModelFunction]:
"""
Parse the line representing the negation table.
"""
return parse_single_monadic_connective(infile, "¬", size)
def mvalue_from_index(i: int) -> ModelValue: def mvalue_from_index(i: int) -> ModelValue:
""" """
Given an index, return the Given an index, return the
@ -506,7 +494,6 @@ def parse_single_order(infile: SourceFile, size: int) -> Optional[Tuple[ModelFun
cmapping = {} cmapping = {}
dmapping = {} dmapping = {}
for i in range(size + 1): for i in range(size + 1):
x = mvalue_from_index(i) x = mvalue_from_index(i)
for j in range(size + 1): for j in range(size + 1):
@ -552,17 +539,18 @@ def parse_single_designated(infile: SourceFile, size: int) -> Optional[Set[Model
return designated_values return designated_values
def parse_single_implication(infile: SourceFile, size: int) -> Tuple[ModelFunction]:
"""
Take the current string, parse an implication table from it.
"""
return parse_single_dyadic_connective(infile, "", size)
def parse_single_necessitation(infile: SourceFile, size: int) -> Optional[ModelFunction]: def parse_single_nullary_connective(infile: SourceFile, symbol: str) -> Optional[ModelFunction]:
""" line = infile.next_line()
Parse the line representing the necessitation table. if line == "-1":
""" return None
return parse_single_monadic_connective(infile, "!", size)
row = line.split(" ")
assert len(row) == 1, f"More than one assignment for a nullary connective was provided at line {infile.current_line}"
mapping = {}
mapping[()] = parse_mvalue(row[0])
return ModelFunction(0, mapping, symbol)
def parse_single_monadic_connective(infile: SourceFile, symbol: str, size: int) -> Optional[ModelFunction]: def parse_single_monadic_connective(infile: SourceFile, symbol: str, size: int) -> Optional[ModelFunction]:
line = infile.next_line() line = infile.next_line()
@ -581,11 +569,8 @@ def parse_single_monadic_connective(infile: SourceFile, symbol: str, size: int)
return ModelFunction(1, mapping, symbol) return ModelFunction(1, mapping, symbol)
def parse_single_dyadic_connective(infile: SourceFile, symbol: str, size: int) -> Optional[ModelFunction]: def parse_single_dyadic_connective(infile: SourceFile, symbol: str, size: int) -> Optional[ModelFunction]:
try: first_token = next(infile)
first_token = next(infile) if first_token == "-1":
if first_token == "-1":
return None
except StopIteration:
return None return None
table = [] table = []