a-logic - Digital [email protected] State University

... Whitehead’s great book, Principia Mathematica (1913) of Quine’s Mathematical Logic (1940) and Methods of Logic (4th ed.,1982) and of hundreds of other textbooks and treatises which have the same set of theorems, the same semantical foundations, and use the same concepts of validity and logical truth ...

... Whitehead’s great book, Principia Mathematica (1913) of Quine’s Mathematical Logic (1940) and Methods of Logic (4th ed.,1982) and of hundreds of other textbooks and treatises which have the same set of theorems, the same semantical foundations, and use the same concepts of validity and logical truth ...

a thesis submitted in partial fulfillment of the requirements for the

... from inference rules can be frustrating in proof development. The proof checker described here avoids this problem because the user provides the expected result of each step. The use of a functional meta-language as the user interface to the proof checker makes this approach practical: the user does ...

... from inference rules can be frustrating in proof development. The proof checker described here avoids this problem because the user provides the expected result of each step. The use of a functional meta-language as the user interface to the proof checker makes this approach practical: the user does ...

Affine group schemes over symmetric monoidal categories

... The relative algebraic geometry over a symmetric monoidal category has been developed in various works, such as [Deligne 1990; Hakim 1972; Toën and Vaquié 2009]. It is therefore natural to ask whether arithmetic geometry can be similarly developed in the general framework of symmetric monoidal categ ...

... The relative algebraic geometry over a symmetric monoidal category has been developed in various works, such as [Deligne 1990; Hakim 1972; Toën and Vaquié 2009]. It is therefore natural to ask whether arithmetic geometry can be similarly developed in the general framework of symmetric monoidal categ ...

Chapter 9

... logical implication can be used to obtain the opposite implication. For ind’s, Theorem 9.1.3 shows that finite implication and provability by the ind inference rules are equivalent. It is easily verified that these rules are also sound for unrestricted implication. Thus finite implication implies un ...

... logical implication can be used to obtain the opposite implication. For ind’s, Theorem 9.1.3 shows that finite implication and provability by the ind inference rules are equivalent. It is easily verified that these rules are also sound for unrestricted implication. Thus finite implication implies un ...

Neutrosophic Triplet Group

... Groups are so much important in algebraic structures and they play the role of back bone in almost all algebraic structures. Groups are count in older algebraic structures. It is so much rich algebraic structure than any other structure. In many algebraic structures, groups are present concrete foun ...

... Groups are so much important in algebraic structures and they play the role of back bone in almost all algebraic structures. Groups are count in older algebraic structures. It is so much rich algebraic structure than any other structure. In many algebraic structures, groups are present concrete foun ...

Principia Logico-Metaphysica (Draft/Excerpt)

... Consequently, this excerpt omits the Preface, Acknowledgments, Part I (Chapters 1-6), Part II/Chapters 15–16 (which are being reworked), Part III (which is mostly unwritten), and some Appendices in Part IV. The excerpt contains references to some of this omitted content. The work is ongoing and so t ...

... Consequently, this excerpt omits the Preface, Acknowledgments, Part I (Chapters 1-6), Part II/Chapters 15–16 (which are being reworked), Part III (which is mostly unwritten), and some Appendices in Part IV. The excerpt contains references to some of this omitted content. The work is ongoing and so t ...

Fun with Fields by William Andrew Johnson A dissertation submitted

... A number of theories of fields are known to be dp-minimal, including algebraically closed fields, real closed fields, and several theories of valued fields. Our classification result shows that every field of dp-rank 1 is algebraically closed, real closed, or a henselian valued field with a non-triv ...

... A number of theories of fields are known to be dp-minimal, including algebraically closed fields, real closed fields, and several theories of valued fields. Our classification result shows that every field of dp-rank 1 is algebraically closed, real closed, or a henselian valued field with a non-triv ...

Principles of Model Checking

... emerged in the last twenty years is model checking, which systematically (and automatically) checks whether a model of a given system satisfies a desired property such as deadlock freedom, invariants, or request-response properties. This automated technique for verification and debugging has develop ...

... emerged in the last twenty years is model checking, which systematically (and automatically) checks whether a model of a given system satisfies a desired property such as deadlock freedom, invariants, or request-response properties. This automated technique for verification and debugging has develop ...