a thesis submitted in partial fulfillment of the requirements for the

... proofs. In particular, this thesis examines the application of formal methods to the veri cation of real-time systems. Speci cations of timing correctness can often be expressed using simple predicates that includes linear inequalities. These are readily expressed in precise and familiar mathematica ...

... proofs. In particular, this thesis examines the application of formal methods to the veri cation of real-time systems. Speci cations of timing correctness can often be expressed using simple predicates that includes linear inequalities. These are readily expressed in precise and familiar mathematica ...

Principia Logico-Metaphysica (Draft/Excerpt)

... Part I: Prophilosophy Part II: Philosophy Part III: Metaphilosophy Part IV: Technical Appendices, Bibliography, Index This excerpt was generated on October 28, 2016 and contains: • Part II: Chapter 7: The Language ...

... Part I: Prophilosophy Part II: Philosophy Part III: Metaphilosophy Part IV: Technical Appendices, Bibliography, Index This excerpt was generated on October 28, 2016 and contains: • Part II: Chapter 7: The Language ...

Saying It with Pictures: a logical landscape of conceptual graphs

... the success of visual information in human communication and exploiting them in an automated fashion has gained a prominent place in the artiﬁcial intelligence agenda. By considering several aspects of graphical languages in knowledge representation, this thesis positions conceptual graphs, a speciﬁ ...

... the success of visual information in human communication and exploiting them in an automated fashion has gained a prominent place in the artiﬁcial intelligence agenda. By considering several aspects of graphical languages in knowledge representation, this thesis positions conceptual graphs, a speciﬁ ...

Termination of Higher-order Rewrite Systems

... Describing transformations on programs; Implementing abstract data types; Automated theorem proving, especially for equational logic; Proving completeness of axiomatizations for algebras; Proving consistency of proof calculi for logics. These tasks can be divided into practical and theoret ...

... Describing transformations on programs; Implementing abstract data types; Automated theorem proving, especially for equational logic; Proving completeness of axiomatizations for algebras; Proving consistency of proof calculi for logics. These tasks can be divided into practical and theoret ...

A tableau-based decision procedure for LTL

... procedure for LTL For the sake of clarity, among the various existing tableau systems for LTL, we selected Manna and Pnueli’s implicit declarative one Z. Manna, A. Pnueli, Temporal Verification of Reactive Systems: Safety, ...

... procedure for LTL For the sake of clarity, among the various existing tableau systems for LTL, we selected Manna and Pnueli’s implicit declarative one Z. Manna, A. Pnueli, Temporal Verification of Reactive Systems: Safety, ...

Some Aspects and Examples of In nity Notions T ZF

... The investigation of dierent de nitions of in nity constitutes a signi cant part of the development of axiomatic set theory. Tarski [15], Mostowski [11], Levy [9], and many other authors have devoted research papers to the theme of niteness de nitions (which is the most often used term for this s ...

... The investigation of dierent de nitions of in nity constitutes a signi cant part of the development of axiomatic set theory. Tarski [15], Mostowski [11], Levy [9], and many other authors have devoted research papers to the theme of niteness de nitions (which is the most often used term for this s ...

Predicate Logic

... Other forms of quantification Other Quantifiers The most important quantifiers are ∀ and ∃, but we could define many different quantifiers: “there is a unique”, “there are exactly two”, “there are no more than three”, “there are at least 100”, etc. A common one is the uniqueness quantifier, denoted ...

... Other forms of quantification Other Quantifiers The most important quantifiers are ∀ and ∃, but we could define many different quantifiers: “there is a unique”, “there are exactly two”, “there are no more than three”, “there are at least 100”, etc. A common one is the uniqueness quantifier, denoted ...

Untitled

... and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the formulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functi ...

... and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the formulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functi ...

Enumerations in computable structure theory

... It is easy to see that if A has a formally c.e. Scott family, then it is relatively computably categorical, so it is computably categorical. More generally, if A has a formally Σ0α Scott family, then we can see, using Theorem 1.1, that it is relatively ∆0α categorical, so it is ∆0α categorical. Gon ...

... It is easy to see that if A has a formally c.e. Scott family, then it is relatively computably categorical, so it is computably categorical. More generally, if A has a formally Σ0α Scott family, then we can see, using Theorem 1.1, that it is relatively ∆0α categorical, so it is ∆0α categorical. Gon ...

Enumerations in computable structure theory

... with all imaginable uniformity, over structures and formulas. It is easy to see that if A has a formally c.e. Scott family, then it is relatively computably categorical, so it is computably categorical. More generally, if A has a formally Σ0α Scott family, then we can see, using Theorem 1.1, that it ...

... with all imaginable uniformity, over structures and formulas. It is easy to see that if A has a formally c.e. Scott family, then it is relatively computably categorical, so it is computably categorical. More generally, if A has a formally Σ0α Scott family, then we can see, using Theorem 1.1, that it ...

Bridge to Abstract Mathematics: Mathematical Proof and

... Readability. The author's primary pedagogical goal in writing the text was to produce a book that students can read. Since many colleges and universities in the United States do not currently have a "bridging" course in mathematics, it was a goal to make the book suitable for the individual student ...

... Readability. The author's primary pedagogical goal in writing the text was to produce a book that students can read. Since many colleges and universities in the United States do not currently have a "bridging" course in mathematics, it was a goal to make the book suitable for the individual student ...

Sample pages 2 PDF

... It means that a well-formed formula (wff) can take any of the forms separated by |. This describes the syntax of the language—it identifies the class of formulae which we will be able to reason about. Note that we have added two entries we have not mentioned: ‘true’ and ‘false’, which are the propos ...

... It means that a well-formed formula (wff) can take any of the forms separated by |. This describes the syntax of the language—it identifies the class of formulae which we will be able to reason about. Note that we have added two entries we have not mentioned: ‘true’ and ‘false’, which are the propos ...

Problems on Discrete Mathematics1 (Part I)

... This is not so much a Preface as it is an explanation of why these notes were prepared in the first place. Year after year, students in CIS275 and CIS375 have commented that the text book was “poor”, “useless”, or “difficult to read” etc. It is our ‘impression’ that most of the students were lost in ...

... This is not so much a Preface as it is an explanation of why these notes were prepared in the first place. Year after year, students in CIS275 and CIS375 have commented that the text book was “poor”, “useless”, or “difficult to read” etc. It is our ‘impression’ that most of the students were lost in ...

Simply Logical: Intelligent Reasoning by Example

... 1990) or Sterling and Shapiro’s The Art of Prolog (MIT Press, 1986). ...

... 1990) or Sterling and Shapiro’s The Art of Prolog (MIT Press, 1986). ...