Metadata-Version: 2.1
Name: model-checker
Version: 0.2.19
Summary: A hyperintensional model checker for counterfactual conditionals
Author-email: Benjamin Brast-McKie <benbrastmckie@gmail.com>, Miguel Buitrago <mbuit82@gmail.com>
License: MIT
Project-URL: Homepage, https://github.com/benbrastmckie/ModelChecker
Project-URL: Issues, https://github.com/benbrastmckie/ModelChecker/issues
Keywords: semantics,Z3,counterfactuals,model checker,theorem prover,hyperintensionality
Classifier: Programming Language :: Python :: 3.8
Classifier: License :: OSI Approved :: MIT License
Classifier: Operating System :: OS Independent
Description-Content-Type: text/markdown
License-File: LICENCE
Requires-Dist: z3-solver

# Model Checker

This project draws on the [Z3](https://github.com/Z3Prover/z3) theorem prover to provide tools for proving theorems and finding countermodels for counterfactual conditional and modal claims.

Detailed [installation instructions](https://github.com/benbrastmckie/ModelChecker?tab=readme-ov-file#installation) are provided in the GitHub repository.

## Instructions

To generate a test file run `model-checker` without arguments.

Alternatively, run `model-checker path/to/test_file.py` if the `test_file.py` already exists.

A number of [examples](https://github.com/benbrastmckie/ModelChecker/blob/master/Examples/examples.py) are provided in the GitHub repository.

Each file must specify a set of `premises` which are treated conjunctively, `conclusions` which are treated disjunctively, and the number `N` of atomic states to include in each model.

Optionally, the user can specify whether to print the Z3 constraints when a model is found, or the unsatisfiable core when no model exists, as well as an option to save the output.

## Syntax

The language currently includes operators for the counterfactual conditional `boxright`, modal operators for necessity `Box` and possibility `Diamond`, and the extensional operators for conjunction `wedge`, disjunction `vee`, material conditional `rightarrow`, material biconditional `leftrightarrow`, and negation `neg`.

## Semantics

The semantics included is hyperintensional insofar as sentences are evaluated at _states_ which may be partial rather than total as in intensional semantic theories.
States are modeled by bitvectors of a specified length (e.g., `#b00101` has length `5`), where _state fusion_ is modeled by the bitwise OR operator `|`.
For instance, `#b00101 | #b11001 = #b11101`.
The _atomic states_ have exactly one occurrence of `1` and the _null state_ has no occurrences of `1`.
The space of states is closed under fusion and finite.

States are named by lowercase letters for the sake of printing readable countermodels.
A state `a` is _part_ of a state `b` just in case `a | b = b`.
States may be either _possible_ or _impossible_ where the null state is required to be possible and every part of a possible state is possible.
The states `a` and `b` are _compatible_ just in case `a | b` is possible.
A _world state_ is any state that is both possible and includes every compatible state as a part.

Sentences are assigned _verifier states_ and _falsifier states_ where the both the verifiers and falsifiers are required to be closed under fusion.
True counterfactual and modal sentences are verified by the null state and falsified by no states.
Negated sentences are verified by the falsifiers for the sentence negated and falsified by the verifiers for the sentence negated.
Conjunctions are verified by the pairwise fusions of verifiers for the conjuncts and falsified by falsifiers for either of the conjuncts or fusions thereof.
Conjunction and disjunction are dual operators obeying the standard De Morgan laws.
The absorption laws do not hold, nor does conjunction distribute over disjunction, or _vice versa_.

The semantic theory for counterfactual conditionals is motivated and further elaborated in this [draft](https://github.com/benbrastmckie/ModelChecker/blob/master/Counterfactuals.pdf).
For the background theory of hyperintensional propositions, see this [paper](https://link.springer.com/article/10.1007/s10992-021-09612-w).
More information can be found in the GitHub [repository](https://github.com/benbrastmckie/ModelChecker). 

