- [Show abstract] [Hide abstract]

**ABSTRACT:**We present a formal model of the Java two's-complement integral arithmetics. The model directly formalizes the arithmetic operations as given in the Java Language Specification (JLS). The algebraic prop- erties of these definitions are derived. Underspecifications and ambi- guities in the JLS are pointed out and clarified. The theory is for- mally analyzed in Isabelle/HOL, that is, machine-checked proofs for the ring properties and divisor/remainder theorems etc. are provided. This work is suited to build the framework for machine-supported rea- soning over arithmetic formulae in the context of Java source-code verification. - [Show abstract] [Hide abstract]

**ABSTRACT:**The TPHOLs International Conference serves as a venue for the presentation of work in theorem proving in higher-order logics and related areas in deduction, formal specification, software and hardware verification, and other applications. Fourteen papers were submitted to Track B (Work in Progress), which are included in this volume. Authors of Track B papers gave short introductory talks that were followed by an open poster session. The FCM 2002 Workshop aimed to bring together researchers working on the formalisation of continuous mathematics in theorem proving systems with those needing such libraries for their applications. Many of the major higher order theorem proving systems now have a formalisation of the real numbers and various levels of real analysis support. This work is of interest in a number of application areas, such as formal methods development for hardware and software application and computer supported mathematics. The FCM 2002 consisted of three papers, presented by their authors at the workshop venue, and one invited talk.01/2002; - [Show abstract] [Hide abstract]

**ABSTRACT:**An abstract is not available.

Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.