Lecture 3
... • A term can be a constant, a variable or a function name applied to zero or more arguments e.g., add(X,Y). More complex terms can be built from a vocabulary of function symbols and variable symbols. Terms can be considered as simple strings. • Term rewriting is a computational method that is based ...
... • A term can be a constant, a variable or a function name applied to zero or more arguments e.g., add(X,Y). More complex terms can be built from a vocabulary of function symbols and variable symbols. Terms can be considered as simple strings. • Term rewriting is a computational method that is based ...
The Foundations: Logic and Proofs - UTH e
... The Connective Or in English In English “or” has two distinct meanings. “Inclusive Or” - In the sentence “Students who have taken CS202 or Math120 may take this class,” we assume that students need to have taken one of the prerequisites, but may have taken both. This is the meaning of disjunction ...
... The Connective Or in English In English “or” has two distinct meanings. “Inclusive Or” - In the sentence “Students who have taken CS202 or Math120 may take this class,” we assume that students need to have taken one of the prerequisites, but may have taken both. This is the meaning of disjunction ...
Jordan Bradshaw, Virginia Walker, and Dylan Kane
... Mimics the natural reasoning process, inference rules natural to humans Called “natural” because does not require conversion to (unreadable) normal form ...
... Mimics the natural reasoning process, inference rules natural to humans Called “natural” because does not require conversion to (unreadable) normal form ...
Propositional Logic
... some rules allow for the closing of leaves (thus making the conclusion formula not depend on those assumptions). For example, introduction and elimination rules for implication look like: [A] (E→ ) ...
... some rules allow for the closing of leaves (thus making the conclusion formula not depend on those assumptions). For example, introduction and elimination rules for implication look like: [A] (E→ ) ...
an interpretation of aristotle`s syllogistic and a certain fragment of set
... seen especially well in Slupecki’s interpretation, where formula A can be read as follows: among every k + 1 sets there are at least two such sets that one includes the second. ...
... seen especially well in Slupecki’s interpretation, where formula A can be read as follows: among every k + 1 sets there are at least two such sets that one includes the second. ...
3.1 Review 3.2 The truth table method
... Unit propagation If a clause is a unit clause, i.e. it contains only a single unassigned literal, this clause can only be satisfied by assigning the necessary value to make this literal true. Thus, no choi ce is necessary. In practice, this often leads to deterministic cascades of units, thus avoidi ...
... Unit propagation If a clause is a unit clause, i.e. it contains only a single unassigned literal, this clause can only be satisfied by assigning the necessary value to make this literal true. Thus, no choi ce is necessary. In practice, this often leads to deterministic cascades of units, thus avoidi ...
INTRODUCTION TO LOGIC Lecture 6 Natural Deduction Proofs in
... Proofs in Natural Deduction Proofs in Natural Deduction are trees of L2 -sentences ...
... Proofs in Natural Deduction Proofs in Natural Deduction are trees of L2 -sentences ...
completeness theorem for a first order linear
... system for PLTL was given in [8], while its rst order extension, FOLTL, was presented in [13]. There are many complete axiomatizations of di erent rst order temporal logics. For example, some kinds of such logics with F and P operators over various classes of time ows were axiomatized in [9], whi ...
... system for PLTL was given in [8], while its rst order extension, FOLTL, was presented in [13]. There are many complete axiomatizations of di erent rst order temporal logics. For example, some kinds of such logics with F and P operators over various classes of time ows were axiomatized in [9], whi ...
CS 2742 (Logic in Computer Science) Lecture 6
... This is another way to describe “proof by contrapositive”. Similarly we can write the proof by cases, by contradiction, by transitivity and so on. They can be derived from the original logic identities. For example, modus ponens becomes ((p → q) ∧ p) → q. ...
... This is another way to describe “proof by contrapositive”. Similarly we can write the proof by cases, by contradiction, by transitivity and so on. They can be derived from the original logic identities. For example, modus ponens becomes ((p → q) ∧ p) → q. ...