Formal Languages in Logic Formal languages are widely regarded as being above all mathematical objects, and as producing a greater level of precision and technical complexity in logical investigations because of this. Yet defining formal languages exclusively in this way offers …
Logic has recently become a basic modelling tool alongside mathematics, and the two styles of modelling are beginning to combine. Thus the need for logical inference models, particularly those that involve quantitative methods, is growing. As generated in operations research and…
The classical decision problem
by Gurevich, Yuri, Börger, Egon, Grädel, Erich
fromPerspectives in mathematical logic
It is often supposed that the spectacular successes of our modern mathematical sciences support a lofty vision of a world completely ordered by one single elegant theory. In this volume, Nancy Cartwright argues to the contrary. When we draw our image of the world from the way mo…
"The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informa…
Advances in proof theory
Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theo…
