Lecture Notes
... Problem: Given a structure M , a world w of M and a formula φ, decide if M, w |= φ. Theorem: For finite M , and φ ∈ L{K1 ,...,Kn ,CG } there exists an algorithm that solves the problem in time linear in |M | · |φ|, where |M | and |φ| are the amount of space needed to write down M and φ, ...
... Problem: Given a structure M , a world w of M and a formula φ, decide if M, w |= φ. Theorem: For finite M , and φ ∈ L{K1 ,...,Kn ,CG } there exists an algorithm that solves the problem in time linear in |M | · |φ|, where |M | and |φ| are the amount of space needed to write down M and φ, ...
An Introduction to SOFL
... The use of parenthesis An expression is interpreted by applying the operator priority order unless parenthesis is used. For example: the expression not p and q or r <=> p => q and r is equivalent to the expression: (((not p) and q) or r) <=> (p => (q and r)) Parenthesis can be used to change the pr ...
... The use of parenthesis An expression is interpreted by applying the operator priority order unless parenthesis is used. For example: the expression not p and q or r <=> p => q and r is equivalent to the expression: (((not p) and q) or r) <=> (p => (q and r)) Parenthesis can be used to change the pr ...
Unification in Propositional Logic
... The explicit computation of mgus or of complete sets of unifiers seems to be less important (see the application to admissible rules) and, in any case, it is only a question of writing down explicitly defined substitutions (namely the θP ’s for P ∈ ΠA). ...
... The explicit computation of mgus or of complete sets of unifiers seems to be less important (see the application to admissible rules) and, in any case, it is only a question of writing down explicitly defined substitutions (namely the θP ’s for P ∈ ΠA). ...
Speaking Logic - SRI International
... Our course is about the effective use of logic in computing. ...
... Our course is about the effective use of logic in computing. ...
PPT
... Logic Logic is not only the foundation of mathematics, but also is important in numerous fields including law, medicine, and science. Although the study of logic originated in antiquity, it was rebuilt and formalized in the 19th and early 20th century. George Boole (Boolean algebra) introduced Math ...
... Logic Logic is not only the foundation of mathematics, but also is important in numerous fields including law, medicine, and science. Although the study of logic originated in antiquity, it was rebuilt and formalized in the 19th and early 20th century. George Boole (Boolean algebra) introduced Math ...
Chapter 2 - Princeton University Press
... mathematics to logical symbols. Comments in English appeared occasionally in the book but were understood to be outside the formal work. For instance, a comment on page 362 points out that the main idea of 1 + 1 = 2 has just been proved! In principle, all of known mathematics can be formulated in te ...
... mathematics to logical symbols. Comments in English appeared occasionally in the book but were understood to be outside the formal work. For instance, a comment on page 362 points out that the main idea of 1 + 1 = 2 has just been proved! In principle, all of known mathematics can be formulated in te ...
PPT
... let F’ = F S and find the clause form C of F’. 2. Iteratively try to find new clauses that are logically implied by C. 3. If NIL is one of these clauses you produce, then F’ is unsatisfiable and the conjecture is proved. 4. You get NIL when you produce something that has A and also has A. ...
... let F’ = F S and find the clause form C of F’. 2. Iteratively try to find new clauses that are logically implied by C. 3. If NIL is one of these clauses you produce, then F’ is unsatisfiable and the conjecture is proved. 4. You get NIL when you produce something that has A and also has A. ...
A General Proof Method for ... without the Barcan Formula.*
... [Halpern & Moses, 19851. Automated reasoning in modal logics is made difficult, however, by (i) the absence of a normal form for expressions containing modal operators, and (ii) problems associated with possible individuals when we quantify into modal expressions. This paper generalizes the proof me ...
... [Halpern & Moses, 19851. Automated reasoning in modal logics is made difficult, however, by (i) the absence of a normal form for expressions containing modal operators, and (ii) problems associated with possible individuals when we quantify into modal expressions. This paper generalizes the proof me ...
Inquiry
An inquiry is any process that has the aim of augmenting knowledge, resolving doubt, or solving a problem. A theory of inquiry is an account of the various types of inquiry and a treatment of the ways that each type of inquiry achieves its aim.