First-Order Theorem Proving and Vampire
... http://www.tptp.org contains a large collection of first-order problems. For representing these problems it uses the TPTP syntax, which is understood by all modern theorem provers, including Vampire. In the TPTP syntax this group theory problem can be written down as follows: %---- 1 * x = 1 fof(lef ...
... http://www.tptp.org contains a large collection of first-order problems. For representing these problems it uses the TPTP syntax, which is understood by all modern theorem provers, including Vampire. In the TPTP syntax this group theory problem can be written down as follows: %---- 1 * x = 1 fof(lef ...
Labeled Natural Deduction for Temporal Logics
... to ancient Greece, with the works of Aristotle and Diodorus Cronus. However, the birth of modern (symbolic) temporal logic is mainly connected to the name of Prior, who in the late 1950’s developed the so-called tense logics on the model of modal logics, in a work significantly titled “Time and Moda ...
... to ancient Greece, with the works of Aristotle and Diodorus Cronus. However, the birth of modern (symbolic) temporal logic is mainly connected to the name of Prior, who in the late 1950’s developed the so-called tense logics on the model of modal logics, in a work significantly titled “Time and Moda ...
Everything Else Being Equal: A Modal Logic for Ceteris Paribus
... of PL(ϕ Pψ) with respect to the set of all proposition letters. Amplification guarantees that every r in the universe of discourse of a formula that is not directly relevant to the evaluation of a preference subformula is kept constant. This would not be the case, for instance, if given a preference ...
... of PL(ϕ Pψ) with respect to the set of all proposition letters. Amplification guarantees that every r in the universe of discourse of a formula that is not directly relevant to the evaluation of a preference subformula is kept constant. This would not be the case, for instance, if given a preference ...
KURT GÖDEL - National Academy of Sciences
... (1978) by Quine gives an excellent overview in just under four pages. ...
... (1978) by Quine gives an excellent overview in just under four pages. ...
Sample pages 2 PDF
... a well-formed formula if is syntactically correct. The propositional formulae given in the examples above are all well-formed while, for example, (∧ ‘it is raining’) is not. We will describe well-formed formulae using the following table: ...
... a well-formed formula if is syntactically correct. The propositional formulae given in the examples above are all well-formed while, for example, (∧ ‘it is raining’) is not. We will describe well-formed formulae using the following table: ...
Logic and Proof
... Aristotle observed that the correctness of this inference has nothing to do with the truth or falsity of the individual statements, but, rather, the general pattern: Every A is B. Every B is C. Therefore every A is C. We can substitute various properties for A, B, and C; try substituting the propert ...
... Aristotle observed that the correctness of this inference has nothing to do with the truth or falsity of the individual statements, but, rather, the general pattern: Every A is B. Every B is C. Therefore every A is C. We can substitute various properties for A, B, and C; try substituting the propert ...
SEQUENT SYSTEMS FOR MODAL LOGICS
... normal modal logics will not be considered in the present chapter. In relational proof systems the logical object language is associated with a language of relational terms. These terms may contain subterms representing the accessibility relation in possible-worlds models, so that semantic informati ...
... normal modal logics will not be considered in the present chapter. In relational proof systems the logical object language is associated with a language of relational terms. These terms may contain subterms representing the accessibility relation in possible-worlds models, so that semantic informati ...
Combinaison des logiques temporelle et déontique pour la
... other hand. Indeed, we have to express for instance the permission to access a resource for a certain period, the obligation to release a resource before a deadline, or the prohibition to execute a task for a too long period. Temporal and deontic logics seem well suited to specify such concepts. In ...
... other hand. Indeed, we have to express for instance the permission to access a resource for a certain period, the obligation to release a resource before a deadline, or the prohibition to execute a task for a too long period. Temporal and deontic logics seem well suited to specify such concepts. In ...
Modal fixpoint logic: some model theoretic questions
... of the domain. It is also one of the most expressive logics that is known to be decidable on trees, whether they are binary or unranked (that is, there is no restriction on the number a successors of a node). Hence, it is not surprising that most specification languages are fragments of MSO. This me ...
... of the domain. It is also one of the most expressive logics that is known to be decidable on trees, whether they are binary or unranked (that is, there is no restriction on the number a successors of a node). Hence, it is not surprising that most specification languages are fragments of MSO. This me ...
Sound and Complete Inference Rules in FOL Example
... Let us try resolution to infer Rich(M e)! The standard way of showing that KB ` φ by resolution is to add ¬φ to the KB and show that we can reach the empty clause by repeated application of the resolution rule. In our case, we add ¬Rich(M e). ...
... Let us try resolution to infer Rich(M e)! The standard way of showing that KB ` φ by resolution is to add ¬φ to the KB and show that we can reach the empty clause by repeated application of the resolution rule. In our case, we add ¬Rich(M e). ...
Deductive Databases with Universally Quantified Conditions
... a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. ...
... a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. ...