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forall x: Calgary. An Introduction to Formal Logic [PDF]
forall x: Calgary is a full-featured textbook on formal logic. It covers key notions of logic such as consequence and validity of arguments, the syntax of truth-functional propositional logic TFL and truth-table semantics, the syntax of first-order ...
Button, Tim+4 more
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We consider the two-variable fragment of first-order logic with one distinguished binary predicate constrained to be interpreted as a transitive relation.
Pratt-Hartmann, Ian
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Necessity in the Thought of Avicenna [PDF]
To Avicenna, the relation between the subject and the predicate is of three kinds: possibility, necessity, and impossibility. Impossibility is the same as necessary non-existence. The word ‘modal’ in modal logic refers to these three.
milad omrani, Fereshteh Nabati
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There are some sentences that include expressions that refer to entities that do not exist. One example is this: Mary is in terror of werewolves. Some argue that this sentence cannot be translated into predicate logic.
Víctor Cantero-Flores
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Completeness of the First-Order Logic of Partial Quasiary Predicates with the Complement Composition [PDF]
Partial quasiary predicates are used in programming for representing program semantics and in logic for formalizing predicates over partial variable assignments.
Mykola Nikitchenko+3 more
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Game-theoretical interpretation of logical semantics has been first suggested in 1950s. Although it is well know among professionals, it is often excluded from introductory courses in logic.
Glivická Jana
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Parallel deduction-search algorithm for the predicate logic formulas
There is not abstract.
Stasys Norgėla
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Completeness for a First-order Abstract Separation Logic
Existing work on theorem proving for the assertion language of separation logic (SL) either focuses on abstract semantics which are not readily available in most applications of program verification, or on concrete models for which completeness is not ...
AS Troelstra+17 more
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Agile Logical Semantics for Natural Languages
This paper presents an agile method of logical semantics based on high-order Predicate Logic. An operator of predicate abstraction is introduced that provides a simple mechanism for logical aggregation of predicates and for logical typing.
Vincenzo Manca
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Fuzzy inequational logic [PDF]
We present a logic for reasoning about graded inequalities which generalizes the ordinary inequational logic used in universal algebra. The logic deals with atomic predicate formulas of the form of inequalities between terms and formalizes their semantic
Vychodil, Vilem
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